TSTP Solution File: COM020+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM020+4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 19:10:03 EDT 2024

% Result   : Theorem 1.04s 0.86s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   80 (  22 unt;   0 def)
%            Number of atoms       :  748 (  67 equ)
%            Maximal formula atoms :   33 (   9 avg)
%            Number of connectives :  884 ( 216   ~; 262   |; 386   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :  197 ( 126   !;  71   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f865,plain,
    $false,
    inference(subsumption_resolution,[],[f864,f291]) ).

fof(f291,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(unit_resulting_resolution,[],[f288,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ sP4(X0)
      | ~ sdtmndtasgtdt0(xb,xR,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(xb,xR,X0)
        & ~ sdtmndtplgtdt0(xb,xR,X0)
        & ! [X1] :
            ( ~ sdtmndtplgtdt0(X1,xR,X0)
            | ~ aReductOfIn0(X1,xb,xR)
            | ~ aElement0(X1) )
        & ~ aReductOfIn0(X0,xb,xR)
        & xb != X0 )
      | ~ sP4(X0) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(xb,xR,X0)
        & ~ sdtmndtplgtdt0(xb,xR,X0)
        & ! [X2] :
            ( ~ sdtmndtplgtdt0(X2,xR,X0)
            | ~ aReductOfIn0(X2,xb,xR)
            | ~ aElement0(X2) )
        & ~ aReductOfIn0(X0,xb,xR)
        & xb != X0 )
      | ~ sP4(X0) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(xb,xR,X0)
        & ~ sdtmndtplgtdt0(xb,xR,X0)
        & ! [X2] :
            ( ~ sdtmndtplgtdt0(X2,xR,X0)
            | ~ aReductOfIn0(X2,xb,xR)
            | ~ aElement0(X2) )
        & ~ aReductOfIn0(X0,xb,xR)
        & xb != X0 )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f288,plain,
    sP4(xd),
    inference(subsumption_resolution,[],[f280,f214]) ).

fof(f214,plain,
    aElement0(xd),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( aNormalFormOfIn0(xd,xw,xR)
    & ! [X0] : ~ aReductOfIn0(X0,xd,xR)
    & sdtmndtasgtdt0(xw,xR,xd)
    & ( ( sdtmndtplgtdt0(xw,xR,xd)
        & ( ( sdtmndtplgtdt0(sK21,xR,xd)
            & aReductOfIn0(sK21,xw,xR)
            & aElement0(sK21) )
          | aReductOfIn0(xd,xw,xR) ) )
      | xw = xd )
    & aElement0(xd) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f40,f104]) ).

fof(f104,plain,
    ( ? [X1] :
        ( sdtmndtplgtdt0(X1,xR,xd)
        & aReductOfIn0(X1,xw,xR)
        & aElement0(X1) )
   => ( sdtmndtplgtdt0(sK21,xR,xd)
      & aReductOfIn0(sK21,xw,xR)
      & aElement0(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ( aNormalFormOfIn0(xd,xw,xR)
    & ! [X0] : ~ aReductOfIn0(X0,xd,xR)
    & sdtmndtasgtdt0(xw,xR,xd)
    & ( ( sdtmndtplgtdt0(xw,xR,xd)
        & ( ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,xd)
              & aReductOfIn0(X1,xw,xR)
              & aElement0(X1) )
          | aReductOfIn0(xd,xw,xR) ) )
      | xw = xd )
    & aElement0(xd) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ( aNormalFormOfIn0(xd,xw,xR)
    & ~ ? [X0] : aReductOfIn0(X0,xd,xR)
    & sdtmndtasgtdt0(xw,xR,xd)
    & ( ( sdtmndtplgtdt0(xw,xR,xd)
        & ( ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,xd)
              & aReductOfIn0(X1,xw,xR)
              & aElement0(X1) )
          | aReductOfIn0(xd,xw,xR) ) )
      | xw = xd )
    & aElement0(xd) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( aNormalFormOfIn0(xd,xw,xR)
    & ~ ? [X0] : aReductOfIn0(X0,xd,xR)
    & sdtmndtasgtdt0(xw,xR,xd)
    & ( ( sdtmndtplgtdt0(xw,xR,xd)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xd)
              & aReductOfIn0(X0,xw,xR)
              & aElement0(X0) )
          | aReductOfIn0(xd,xw,xR) ) )
      | xw = xd )
    & aElement0(xd) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

fof(f280,plain,
    ( sP4(xd)
    | ~ aElement0(xd) ),
    inference(equality_resolution,[],[f227]) ).

fof(f227,plain,
    ! [X0] :
      ( xd != X0
      | sP4(X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(xd,xR,X0)
        & ~ sdtmndtplgtdt0(xd,xR,X0)
        & ! [X1] :
            ( ~ sdtmndtplgtdt0(X1,xR,X0)
            | ~ aReductOfIn0(X1,xd,xR)
            | ~ aElement0(X1) )
        & ~ aReductOfIn0(X0,xd,xR)
        & xd != X0 )
      | sP4(X0)
      | ~ aElement0(X0) ),
    inference(definition_folding,[],[f41,f68]) ).

fof(f41,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(xd,xR,X0)
        & ~ sdtmndtplgtdt0(xd,xR,X0)
        & ! [X1] :
            ( ~ sdtmndtplgtdt0(X1,xR,X0)
            | ~ aReductOfIn0(X1,xd,xR)
            | ~ aElement0(X1) )
        & ~ aReductOfIn0(X0,xd,xR)
        & xd != X0 )
      | ( ~ sdtmndtasgtdt0(xb,xR,X0)
        & ~ sdtmndtplgtdt0(xb,xR,X0)
        & ! [X2] :
            ( ~ sdtmndtplgtdt0(X2,xR,X0)
            | ~ aReductOfIn0(X2,xb,xR)
            | ~ aElement0(X2) )
        & ~ aReductOfIn0(X0,xb,xR)
        & xb != X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ? [X0] :
        ( ( sdtmndtasgtdt0(xd,xR,X0)
          | sdtmndtplgtdt0(xd,xR,X0)
          | ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,X0)
              & aReductOfIn0(X1,xd,xR)
              & aElement0(X1) )
          | aReductOfIn0(X0,xd,xR)
          | xd = X0 )
        & ( sdtmndtasgtdt0(xb,xR,X0)
          | sdtmndtplgtdt0(xb,xR,X0)
          | ? [X2] :
              ( sdtmndtplgtdt0(X2,xR,X0)
              & aReductOfIn0(X2,xb,xR)
              & aElement0(X2) )
          | aReductOfIn0(X0,xb,xR)
          | xb = X0 )
        & aElement0(X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,negated_conjecture,
    ~ ? [X0] :
        ( ( sdtmndtasgtdt0(xd,xR,X0)
          | sdtmndtplgtdt0(xd,xR,X0)
          | ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,X0)
              & aReductOfIn0(X1,xd,xR)
              & aElement0(X1) )
          | aReductOfIn0(X0,xd,xR)
          | xd = X0 )
        & ( sdtmndtasgtdt0(xb,xR,X0)
          | sdtmndtplgtdt0(xb,xR,X0)
          | ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,X0)
              & aReductOfIn0(X1,xb,xR)
              & aElement0(X1) )
          | aReductOfIn0(X0,xb,xR)
          | xb = X0 )
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f24]) ).

fof(f24,conjecture,
    ? [X0] :
      ( ( sdtmndtasgtdt0(xd,xR,X0)
        | sdtmndtplgtdt0(xd,xR,X0)
        | ? [X1] :
            ( sdtmndtplgtdt0(X1,xR,X0)
            & aReductOfIn0(X1,xd,xR)
            & aElement0(X1) )
        | aReductOfIn0(X0,xd,xR)
        | xd = X0 )
      & ( sdtmndtasgtdt0(xb,xR,X0)
        | sdtmndtplgtdt0(xb,xR,X0)
        | ? [X1] :
            ( sdtmndtplgtdt0(X1,xR,X0)
            & aReductOfIn0(X1,xb,xR)
            & aElement0(X1) )
        | aReductOfIn0(X0,xb,xR)
        | xb = X0 )
      & aElement0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f864,plain,
    sdtmndtasgtdt0(xb,xR,xd),
    inference(forward_demodulation,[],[f856,f857]) ).

fof(f857,plain,
    xd = sK12(xd,xb),
    inference(unit_resulting_resolution,[],[f220,f220,f717,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | aReductOfIn0(sK12(X0,X1),X0,xR)
      | sK12(X0,X1) = X0
      | aReductOfIn0(sK13(X0,X1),X0,xR) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( sdtmndtasgtdt0(X0,xR,sK12(X0,X1))
        & ( ( sdtmndtplgtdt0(X0,xR,sK12(X0,X1))
            & ( ( sdtmndtplgtdt0(sK13(X0,X1),xR,sK12(X0,X1))
                & aReductOfIn0(sK13(X0,X1),X0,xR)
                & aElement0(sK13(X0,X1)) )
              | aReductOfIn0(sK12(X0,X1),X0,xR) ) )
          | sK12(X0,X1) = X0 )
        & sdtmndtasgtdt0(X1,xR,sK12(X0,X1))
        & sP1(sK12(X0,X1),X1)
        & aElement0(sK12(X0,X1)) )
      | ~ sP2(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f86,f88,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtmndtasgtdt0(X0,xR,X2)
          & ( ( sdtmndtplgtdt0(X0,xR,X2)
              & ( ? [X3] :
                    ( sdtmndtplgtdt0(X3,xR,X2)
                    & aReductOfIn0(X3,X0,xR)
                    & aElement0(X3) )
                | aReductOfIn0(X2,X0,xR) ) )
            | X0 = X2 )
          & sdtmndtasgtdt0(X1,xR,X2)
          & sP1(X2,X1)
          & aElement0(X2) )
     => ( sdtmndtasgtdt0(X0,xR,sK12(X0,X1))
        & ( ( sdtmndtplgtdt0(X0,xR,sK12(X0,X1))
            & ( ? [X3] :
                  ( sdtmndtplgtdt0(X3,xR,sK12(X0,X1))
                  & aReductOfIn0(X3,X0,xR)
                  & aElement0(X3) )
              | aReductOfIn0(sK12(X0,X1),X0,xR) ) )
          | sK12(X0,X1) = X0 )
        & sdtmndtasgtdt0(X1,xR,sK12(X0,X1))
        & sP1(sK12(X0,X1),X1)
        & aElement0(sK12(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtmndtplgtdt0(X3,xR,sK12(X0,X1))
          & aReductOfIn0(X3,X0,xR)
          & aElement0(X3) )
     => ( sdtmndtplgtdt0(sK13(X0,X1),xR,sK12(X0,X1))
        & aReductOfIn0(sK13(X0,X1),X0,xR)
        & aElement0(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtmndtasgtdt0(X0,xR,X2)
          & ( ( sdtmndtplgtdt0(X0,xR,X2)
              & ( ? [X3] :
                    ( sdtmndtplgtdt0(X3,xR,X2)
                    & aReductOfIn0(X3,X0,xR)
                    & aElement0(X3) )
                | aReductOfIn0(X2,X0,xR) ) )
            | X0 = X2 )
          & sdtmndtasgtdt0(X1,xR,X2)
          & sP1(X2,X1)
          & aElement0(X2) )
      | ~ sP2(X0,X1) ),
    inference(rectify,[],[f85]) ).

fof(f85,plain,
    ! [X2,X1] :
      ( ? [X5] :
          ( sdtmndtasgtdt0(X2,xR,X5)
          & ( ( sdtmndtplgtdt0(X2,xR,X5)
              & ( ? [X6] :
                    ( sdtmndtplgtdt0(X6,xR,X5)
                    & aReductOfIn0(X6,X2,xR)
                    & aElement0(X6) )
                | aReductOfIn0(X5,X2,xR) ) )
            | X2 = X5 )
          & sdtmndtasgtdt0(X1,xR,X5)
          & sP1(X5,X1)
          & aElement0(X5) )
      | ~ sP2(X2,X1) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X2,X1] :
      ( ? [X5] :
          ( sdtmndtasgtdt0(X2,xR,X5)
          & ( ( sdtmndtplgtdt0(X2,xR,X5)
              & ( ? [X6] :
                    ( sdtmndtplgtdt0(X6,xR,X5)
                    & aReductOfIn0(X6,X2,xR)
                    & aElement0(X6) )
                | aReductOfIn0(X5,X2,xR) ) )
            | X2 = X5 )
          & sdtmndtasgtdt0(X1,xR,X5)
          & sP1(X5,X1)
          & aElement0(X5) )
      | ~ sP2(X2,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f717,plain,
    sP2(xd,xb),
    inference(unit_resulting_resolution,[],[f189,f157,f214,f358,f385,f522,f180]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,X1)
      | ~ iLess0(X0,xa)
      | ~ sdtmndtasgtdt0(X0,xR,X2)
      | sP3(X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( sP2(X2,X1)
      | ~ iLess0(X0,xa)
      | ( ~ sdtmndtasgtdt0(X0,xR,X2)
        & ~ sdtmndtplgtdt0(X0,xR,X2)
        & ! [X3] :
            ( ~ sdtmndtplgtdt0(X3,xR,X2)
            | ~ aReductOfIn0(X3,X0,xR)
            | ~ aElement0(X3) )
        & ~ aReductOfIn0(X2,X0,xR)
        & X0 != X2 )
      | sP3(X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(definition_folding,[],[f39,f66,f65,f64]) ).

fof(f64,plain,
    ! [X5,X1] :
      ( ( sdtmndtplgtdt0(X1,xR,X5)
        & ( ? [X7] :
              ( sdtmndtplgtdt0(X7,xR,X5)
              & aReductOfIn0(X7,X1,xR)
              & aElement0(X7) )
          | aReductOfIn0(X5,X1,xR) ) )
      | X1 = X5
      | ~ sP1(X5,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( ( ~ sdtmndtasgtdt0(X0,xR,X1)
        & ~ sdtmndtplgtdt0(X0,xR,X1)
        & ! [X4] :
            ( ~ sdtmndtplgtdt0(X4,xR,X1)
            | ~ aReductOfIn0(X4,X0,xR)
            | ~ aElement0(X4) )
        & ~ aReductOfIn0(X1,X0,xR)
        & X0 != X1 )
      | ~ sP3(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sdtmndtasgtdt0(X2,xR,X5)
          & ( ( sdtmndtplgtdt0(X2,xR,X5)
              & ( ? [X6] :
                    ( sdtmndtplgtdt0(X6,xR,X5)
                    & aReductOfIn0(X6,X2,xR)
                    & aElement0(X6) )
                | aReductOfIn0(X5,X2,xR) ) )
            | X2 = X5 )
          & sdtmndtasgtdt0(X1,xR,X5)
          & ( ( sdtmndtplgtdt0(X1,xR,X5)
              & ( ? [X7] :
                    ( sdtmndtplgtdt0(X7,xR,X5)
                    & aReductOfIn0(X7,X1,xR)
                    & aElement0(X7) )
                | aReductOfIn0(X5,X1,xR) ) )
            | X1 = X5 )
          & aElement0(X5) )
      | ~ iLess0(X0,xa)
      | ( ~ sdtmndtasgtdt0(X0,xR,X2)
        & ~ sdtmndtplgtdt0(X0,xR,X2)
        & ! [X3] :
            ( ~ sdtmndtplgtdt0(X3,xR,X2)
            | ~ aReductOfIn0(X3,X0,xR)
            | ~ aElement0(X3) )
        & ~ aReductOfIn0(X2,X0,xR)
        & X0 != X2 )
      | ( ~ sdtmndtasgtdt0(X0,xR,X1)
        & ~ sdtmndtplgtdt0(X0,xR,X1)
        & ! [X4] :
            ( ~ sdtmndtplgtdt0(X4,xR,X1)
            | ~ aReductOfIn0(X4,X0,xR)
            | ~ aElement0(X4) )
        & ~ aReductOfIn0(X1,X0,xR)
        & X0 != X1 )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sdtmndtasgtdt0(X2,xR,X5)
          & ( ( sdtmndtplgtdt0(X2,xR,X5)
              & ( ? [X6] :
                    ( sdtmndtplgtdt0(X6,xR,X5)
                    & aReductOfIn0(X6,X2,xR)
                    & aElement0(X6) )
                | aReductOfIn0(X5,X2,xR) ) )
            | X2 = X5 )
          & sdtmndtasgtdt0(X1,xR,X5)
          & ( ( sdtmndtplgtdt0(X1,xR,X5)
              & ( ? [X7] :
                    ( sdtmndtplgtdt0(X7,xR,X5)
                    & aReductOfIn0(X7,X1,xR)
                    & aElement0(X7) )
                | aReductOfIn0(X5,X1,xR) ) )
            | X1 = X5 )
          & aElement0(X5) )
      | ~ iLess0(X0,xa)
      | ( ~ sdtmndtasgtdt0(X0,xR,X2)
        & ~ sdtmndtplgtdt0(X0,xR,X2)
        & ! [X3] :
            ( ~ sdtmndtplgtdt0(X3,xR,X2)
            | ~ aReductOfIn0(X3,X0,xR)
            | ~ aElement0(X3) )
        & ~ aReductOfIn0(X2,X0,xR)
        & X0 != X2 )
      | ( ~ sdtmndtasgtdt0(X0,xR,X1)
        & ~ sdtmndtplgtdt0(X0,xR,X1)
        & ! [X4] :
            ( ~ sdtmndtplgtdt0(X4,xR,X1)
            | ~ aReductOfIn0(X4,X0,xR)
            | ~ aElement0(X4) )
        & ~ aReductOfIn0(X1,X0,xR)
        & X0 != X1 )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,xR,X2)
          | sdtmndtplgtdt0(X0,xR,X2)
          | ? [X3] :
              ( sdtmndtplgtdt0(X3,xR,X2)
              & aReductOfIn0(X3,X0,xR)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,xR)
          | X0 = X2 )
        & ( sdtmndtasgtdt0(X0,xR,X1)
          | sdtmndtplgtdt0(X0,xR,X1)
          | ? [X4] :
              ( sdtmndtplgtdt0(X4,xR,X1)
              & aReductOfIn0(X4,X0,xR)
              & aElement0(X4) )
          | aReductOfIn0(X1,X0,xR)
          | X0 = X1 )
        & aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( iLess0(X0,xa)
       => ? [X5] :
            ( sdtmndtasgtdt0(X2,xR,X5)
            & ( ( sdtmndtplgtdt0(X2,xR,X5)
                & ( ? [X6] :
                      ( sdtmndtplgtdt0(X6,xR,X5)
                      & aReductOfIn0(X6,X2,xR)
                      & aElement0(X6) )
                  | aReductOfIn0(X5,X2,xR) ) )
              | X2 = X5 )
            & sdtmndtasgtdt0(X1,xR,X5)
            & ( ( sdtmndtplgtdt0(X1,xR,X5)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X5)
                      & aReductOfIn0(X7,X1,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X5,X1,xR) ) )
              | X1 = X5 )
            & aElement0(X5) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,xR,X2)
          | sdtmndtplgtdt0(X0,xR,X2)
          | ? [X3] :
              ( sdtmndtplgtdt0(X3,xR,X2)
              & aReductOfIn0(X3,X0,xR)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,xR)
          | X0 = X2 )
        & ( sdtmndtasgtdt0(X0,xR,X1)
          | sdtmndtplgtdt0(X0,xR,X1)
          | ? [X3] :
              ( sdtmndtplgtdt0(X3,xR,X1)
              & aReductOfIn0(X3,X0,xR)
              & aElement0(X3) )
          | aReductOfIn0(X1,X0,xR)
          | X0 = X1 )
        & aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( iLess0(X0,xa)
       => ? [X3] :
            ( sdtmndtasgtdt0(X2,xR,X3)
            & ( ( sdtmndtplgtdt0(X2,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X2,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X2,xR) ) )
              | X2 = X3 )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( ( sdtmndtplgtdt0(X1,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X1,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X1,xR) ) )
              | X1 = X3 )
            & aElement0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

fof(f522,plain,
    iLess0(xu,xa),
    inference(unit_resulting_resolution,[],[f156,f189,f190,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( iLess0(X1,X0)
      | ~ aReductOfIn0(X1,X0,xR)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ( sdtmndtasgtdt0(X5,xR,sK10(X4,X5))
          & ( ( sdtmndtplgtdt0(X5,xR,sK10(X4,X5))
              & ( ( sdtmndtplgtdt0(sK11(X4,X5),xR,sK10(X4,X5))
                  & aReductOfIn0(sK11(X4,X5),X5,xR)
                  & aElement0(sK11(X4,X5)) )
                | aReductOfIn0(sK10(X4,X5),X5,xR) ) )
            | sK10(X4,X5) = X5 )
          & sdtmndtasgtdt0(X4,xR,sK10(X4,X5))
          & sP0(sK10(X4,X5),X4)
          & aElement0(sK10(X4,X5)) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f63,f81,f80]) ).

fof(f80,plain,
    ! [X4,X5] :
      ( ? [X6] :
          ( sdtmndtasgtdt0(X5,xR,X6)
          & ( ( sdtmndtplgtdt0(X5,xR,X6)
              & ( ? [X7] :
                    ( sdtmndtplgtdt0(X7,xR,X6)
                    & aReductOfIn0(X7,X5,xR)
                    & aElement0(X7) )
                | aReductOfIn0(X6,X5,xR) ) )
            | X5 = X6 )
          & sdtmndtasgtdt0(X4,xR,X6)
          & sP0(X6,X4)
          & aElement0(X6) )
     => ( sdtmndtasgtdt0(X5,xR,sK10(X4,X5))
        & ( ( sdtmndtplgtdt0(X5,xR,sK10(X4,X5))
            & ( ? [X7] :
                  ( sdtmndtplgtdt0(X7,xR,sK10(X4,X5))
                  & aReductOfIn0(X7,X5,xR)
                  & aElement0(X7) )
              | aReductOfIn0(sK10(X4,X5),X5,xR) ) )
          | sK10(X4,X5) = X5 )
        & sdtmndtasgtdt0(X4,xR,sK10(X4,X5))
        & sP0(sK10(X4,X5),X4)
        & aElement0(sK10(X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X4,X5] :
      ( ? [X7] :
          ( sdtmndtplgtdt0(X7,xR,sK10(X4,X5))
          & aReductOfIn0(X7,X5,xR)
          & aElement0(X7) )
     => ( sdtmndtplgtdt0(sK11(X4,X5),xR,sK10(X4,X5))
        & aReductOfIn0(sK11(X4,X5),X5,xR)
        & aElement0(sK11(X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & sP0(X6,X4)
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(definition_folding,[],[f37,f62]) ).

fof(f62,plain,
    ! [X6,X4] :
      ( ( sdtmndtplgtdt0(X4,xR,X6)
        & ( ? [X8] :
              ( sdtmndtplgtdt0(X8,xR,X6)
              & aReductOfIn0(X8,X4,xR)
              & aElement0(X8) )
          | aReductOfIn0(X6,X4,xR) ) )
      | X4 = X6
      | ~ sP0(X6,X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f37,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( ( aElement0(X1)
          & aElement0(X0) )
       => ( ( sdtmndtplgtdt0(X0,xR,X1)
            | ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X1)
                & aReductOfIn0(X2,X0,xR)
                & aElement0(X2) )
            | aReductOfIn0(X1,X0,xR) )
         => iLess0(X1,X0) ) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ( aReductOfIn0(X5,X3,xR)
          & aReductOfIn0(X4,X3,xR)
          & aElement0(X5)
          & aElement0(X4)
          & aElement0(X3) )
       => ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( ( aElement0(X1)
          & aElement0(X0) )
       => ( ( sdtmndtplgtdt0(X0,xR,X1)
            | ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X1)
                & aReductOfIn0(X2,X0,xR)
                & aElement0(X2) )
            | aReductOfIn0(X1,X0,xR) )
         => iLess0(X1,X0) ) )
    & isLocallyConfluent0(xR)
    & ! [X0,X1,X2] :
        ( ( aReductOfIn0(X2,X0,xR)
          & aReductOfIn0(X1,X0,xR)
          & aElement0(X2)
          & aElement0(X1)
          & aElement0(X0) )
       => ? [X3] :
            ( sdtmndtasgtdt0(X2,xR,X3)
            & ( ( sdtmndtplgtdt0(X2,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X2,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X2,xR) ) )
              | X2 = X3 )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( ( sdtmndtplgtdt0(X1,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X1,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X1,xR) ) )
              | X1 = X3 )
            & aElement0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).

fof(f190,plain,
    aReductOfIn0(xu,xa,xR),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( sdtmndtasgtdt0(xu,xR,xb)
    & ( ( sdtmndtplgtdt0(xu,xR,xb)
        & ( ( sdtmndtplgtdt0(sK17,xR,xb)
            & aReductOfIn0(sK17,xu,xR)
            & aElement0(sK17) )
          | aReductOfIn0(xb,xu,xR) ) )
      | xb = xu )
    & aReductOfIn0(xu,xa,xR)
    & aElement0(xu) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f20,f97]) ).

fof(f97,plain,
    ( ? [X0] :
        ( sdtmndtplgtdt0(X0,xR,xb)
        & aReductOfIn0(X0,xu,xR)
        & aElement0(X0) )
   => ( sdtmndtplgtdt0(sK17,xR,xb)
      & aReductOfIn0(sK17,xu,xR)
      & aElement0(sK17) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,axiom,
    ( sdtmndtasgtdt0(xu,xR,xb)
    & ( ( sdtmndtplgtdt0(xu,xR,xb)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xb)
              & aReductOfIn0(X0,xu,xR)
              & aElement0(X0) )
          | aReductOfIn0(xb,xu,xR) ) )
      | xb = xu )
    & aReductOfIn0(xu,xa,xR)
    & aElement0(xu) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).

fof(f156,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aElement0(xc)
    & aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

fof(f385,plain,
    sdtmndtasgtdt0(xu,xR,xd),
    inference(unit_resulting_resolution,[],[f189,f138,f203,f214,f208,f219,f266]) ).

fof(f266,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | sdtmndtasgtdt0(X0,X1,X3)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtasgtdt0(X0,X1,X3)
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtasgtdt0(X0,X1,X3)
      | ~ sdtmndtasgtdt0(X2,X1,X3)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | ~ aElement0(X3)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aElement0(X3)
        & aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( ( sdtmndtasgtdt0(X2,X1,X3)
          & sdtmndtasgtdt0(X0,X1,X2) )
       => sdtmndtasgtdt0(X0,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).

fof(f219,plain,
    sdtmndtasgtdt0(xw,xR,xd),
    inference(cnf_transformation,[],[f105]) ).

fof(f208,plain,
    sdtmndtasgtdt0(xu,xR,xw),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ( sdtmndtplgtdt0(sK19,xR,xw)
            & aReductOfIn0(sK19,xv,xR)
            & aElement0(sK19) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ( sdtmndtplgtdt0(sK20,xR,xw)
            & aReductOfIn0(sK20,xu,xR)
            & aElement0(sK20) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f29,f102,f101]) ).

fof(f101,plain,
    ( ? [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        & aReductOfIn0(X0,xv,xR)
        & aElement0(X0) )
   => ( sdtmndtplgtdt0(sK19,xR,xw)
      & aReductOfIn0(sK19,xv,xR)
      & aElement0(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ? [X1] :
        ( sdtmndtplgtdt0(X1,xR,xw)
        & aReductOfIn0(X1,xu,xR)
        & aElement0(X1) )
   => ( sdtmndtplgtdt0(sK20,xR,xw)
      & aReductOfIn0(sK20,xu,xR)
      & aElement0(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xv,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,xw)
              & aReductOfIn0(X1,xu,xR)
              & aElement0(X1) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xv,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xu,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

fof(f203,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f103]) ).

fof(f138,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f358,plain,
    ~ sP3(xb,xu),
    inference(unit_resulting_resolution,[],[f195,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ sdtmndtasgtdt0(X1,xR,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( ~ sdtmndtasgtdt0(X1,xR,X0)
        & ~ sdtmndtplgtdt0(X1,xR,X0)
        & ! [X2] :
            ( ~ sdtmndtplgtdt0(X2,xR,X0)
            | ~ aReductOfIn0(X2,X1,xR)
            | ~ aElement0(X2) )
        & ~ aReductOfIn0(X0,X1,xR)
        & X0 != X1 )
      | ~ sP3(X0,X1) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( ~ sdtmndtasgtdt0(X0,xR,X1)
        & ~ sdtmndtplgtdt0(X0,xR,X1)
        & ! [X4] :
            ( ~ sdtmndtplgtdt0(X4,xR,X1)
            | ~ aReductOfIn0(X4,X0,xR)
            | ~ aElement0(X4) )
        & ~ aReductOfIn0(X1,X0,xR)
        & X0 != X1 )
      | ~ sP3(X1,X0) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f195,plain,
    sdtmndtasgtdt0(xu,xR,xb),
    inference(cnf_transformation,[],[f98]) ).

fof(f157,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f17]) ).

fof(f189,plain,
    aElement0(xu),
    inference(cnf_transformation,[],[f98]) ).

fof(f220,plain,
    ! [X0] : ~ aReductOfIn0(X0,xd,xR),
    inference(cnf_transformation,[],[f105]) ).

fof(f856,plain,
    sdtmndtasgtdt0(xb,xR,sK12(xd,xb)),
    inference(unit_resulting_resolution,[],[f717,f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | sdtmndtasgtdt0(X1,xR,sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COM020+4 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 10:14:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74  % (16551)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74  % (16542)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (16545)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (16544)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (16547)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (16548)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (16549)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (16550)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.76  % (16551)Instruction limit reached!
% 0.56/0.76  % (16551)------------------------------
% 0.56/0.76  % (16551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (16551)Termination reason: Unknown
% 0.56/0.76  % (16551)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (16551)Memory used [KB]: 1533
% 0.56/0.76  % (16551)Time elapsed: 0.019 s
% 0.56/0.76  % (16551)Instructions burned: 59 (million)
% 0.56/0.76  % (16551)------------------------------
% 0.56/0.76  % (16551)------------------------------
% 0.60/0.76  % (16542)Instruction limit reached!
% 0.60/0.76  % (16542)------------------------------
% 0.60/0.76  % (16542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (16542)Termination reason: Unknown
% 0.60/0.76  % (16542)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (16542)Memory used [KB]: 1487
% 0.60/0.76  % (16542)Time elapsed: 0.021 s
% 0.60/0.76  % (16542)Instructions burned: 35 (million)
% 0.60/0.76  % (16542)------------------------------
% 0.60/0.76  % (16542)------------------------------
% 0.60/0.76  % (16547)Instruction limit reached!
% 0.60/0.76  % (16547)------------------------------
% 0.60/0.76  % (16547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (16548)Instruction limit reached!
% 0.60/0.76  % (16548)------------------------------
% 0.60/0.76  % (16548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (16547)Termination reason: Unknown
% 0.60/0.76  % (16547)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (16547)Memory used [KB]: 1606
% 0.60/0.76  % (16547)Time elapsed: 0.021 s
% 0.60/0.76  % (16547)Instructions burned: 34 (million)
% 0.60/0.76  % (16547)------------------------------
% 0.60/0.76  % (16547)------------------------------
% 0.60/0.76  % (16548)Termination reason: Unknown
% 0.60/0.76  % (16548)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (16567)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.60/0.76  % (16548)Memory used [KB]: 1614
% 0.60/0.76  % (16548)Time elapsed: 0.021 s
% 0.60/0.76  % (16548)Instructions burned: 35 (million)
% 0.60/0.76  % (16548)------------------------------
% 0.60/0.76  % (16548)------------------------------
% 0.60/0.77  % (16570)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.77  % (16569)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.60/0.77  % (16571)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.60/0.77  % (16549)Instruction limit reached!
% 0.60/0.77  % (16549)------------------------------
% 0.60/0.77  % (16549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (16549)Termination reason: Unknown
% 0.60/0.77  % (16549)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (16549)Memory used [KB]: 1715
% 0.60/0.77  % (16549)Time elapsed: 0.028 s
% 0.60/0.77  % (16549)Instructions burned: 45 (million)
% 0.60/0.77  % (16549)------------------------------
% 0.60/0.77  % (16549)------------------------------
% 0.60/0.77  % (16578)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.60/0.78  % (16567)Instruction limit reached!
% 0.60/0.78  % (16567)------------------------------
% 0.60/0.78  % (16567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (16567)Termination reason: Unknown
% 0.60/0.78  % (16567)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (16567)Memory used [KB]: 1481
% 0.60/0.78  % (16567)Time elapsed: 0.015 s
% 0.60/0.78  % (16567)Instructions burned: 58 (million)
% 0.60/0.78  % (16567)------------------------------
% 0.60/0.78  % (16567)------------------------------
% 0.60/0.78  % (16544)Instruction limit reached!
% 0.60/0.78  % (16544)------------------------------
% 0.60/0.78  % (16544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (16544)Termination reason: Unknown
% 0.60/0.78  % (16544)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (16544)Memory used [KB]: 1911
% 0.60/0.78  % (16544)Time elapsed: 0.036 s
% 0.60/0.78  % (16544)Instructions burned: 52 (million)
% 0.60/0.78  % (16544)------------------------------
% 0.60/0.78  % (16544)------------------------------
% 0.60/0.78  % (16584)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.78  % (16585)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.79  % (16545)Instruction limit reached!
% 0.60/0.79  % (16545)------------------------------
% 0.60/0.79  % (16545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (16545)Termination reason: Unknown
% 0.60/0.79  % (16545)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (16545)Memory used [KB]: 1803
% 0.60/0.79  % (16545)Time elapsed: 0.047 s
% 0.60/0.79  % (16545)Instructions burned: 79 (million)
% 0.60/0.79  % (16545)------------------------------
% 0.60/0.79  % (16545)------------------------------
% 0.60/0.79  % (16584)Instruction limit reached!
% 0.60/0.79  % (16584)------------------------------
% 0.60/0.79  % (16584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (16584)Termination reason: Unknown
% 0.60/0.79  % (16584)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (16584)Memory used [KB]: 1368
% 0.60/0.79  % (16584)Time elapsed: 0.011 s
% 0.60/0.79  % (16584)Instructions burned: 42 (million)
% 0.60/0.79  % (16584)------------------------------
% 0.60/0.79  % (16584)------------------------------
% 0.60/0.79  % (16550)Instruction limit reached!
% 0.60/0.79  % (16550)------------------------------
% 0.60/0.79  % (16550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (16550)Termination reason: Unknown
% 0.60/0.79  % (16550)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (16550)Memory used [KB]: 2023
% 0.60/0.79  % (16550)Time elapsed: 0.048 s
% 0.60/0.79  % (16550)Instructions burned: 84 (million)
% 0.60/0.79  % (16550)------------------------------
% 0.60/0.79  % (16550)------------------------------
% 0.60/0.79  % (16597)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.60/0.79  % (16596)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.79  % (16569)Instruction limit reached!
% 0.60/0.79  % (16569)------------------------------
% 0.60/0.79  % (16569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (16569)Termination reason: Unknown
% 0.60/0.79  % (16569)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (16569)Memory used [KB]: 1538
% 0.60/0.79  % (16569)Time elapsed: 0.029 s
% 0.60/0.79  % (16569)Instructions burned: 51 (million)
% 0.60/0.79  % (16569)------------------------------
% 0.60/0.79  % (16569)------------------------------
% 0.60/0.79  % (16598)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.60/0.80  % (16571)Instruction limit reached!
% 0.60/0.80  % (16571)------------------------------
% 0.60/0.80  % (16571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (16599)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.60/0.80  % (16571)Termination reason: Unknown
% 0.60/0.80  % (16571)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (16571)Memory used [KB]: 1703
% 0.60/0.80  % (16571)Time elapsed: 0.033 s
% 0.60/0.80  % (16571)Instructions burned: 52 (million)
% 0.60/0.80  % (16571)------------------------------
% 0.60/0.80  % (16571)------------------------------
% 0.60/0.80  % (16601)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.60/0.82  % (16601)Instruction limit reached!
% 0.60/0.82  % (16601)------------------------------
% 0.60/0.82  % (16601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (16601)Termination reason: Unknown
% 0.60/0.82  % (16601)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (16601)Memory used [KB]: 1432
% 0.60/0.82  % (16601)Time elapsed: 0.040 s
% 0.60/0.82  % (16601)Instructions burned: 32 (million)
% 0.60/0.82  % (16601)------------------------------
% 0.60/0.82  % (16601)------------------------------
% 0.60/0.82  % (16599)Instruction limit reached!
% 0.60/0.82  % (16599)------------------------------
% 0.60/0.82  % (16599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (16599)Termination reason: Unknown
% 0.60/0.82  % (16599)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (16599)Memory used [KB]: 1448
% 0.60/0.82  % (16599)Time elapsed: 0.027 s
% 0.60/0.82  % (16599)Instructions burned: 63 (million)
% 0.60/0.82  % (16599)------------------------------
% 0.60/0.82  % (16599)------------------------------
% 0.60/0.82  % (16614)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.60/0.83  % (16617)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.84  % (16597)Instruction limit reached!
% 0.60/0.84  % (16597)------------------------------
% 0.60/0.84  % (16597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (16597)Termination reason: Unknown
% 0.60/0.84  % (16597)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (16597)Memory used [KB]: 3080
% 0.60/0.84  % (16597)Time elapsed: 0.067 s
% 0.60/0.84  % (16597)Instructions burned: 144 (million)
% 0.60/0.84  % (16597)------------------------------
% 0.60/0.84  % (16597)------------------------------
% 0.60/0.84  % (16622)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 1.04/0.85  % (16598)Instruction limit reached!
% 1.04/0.85  % (16598)------------------------------
% 1.04/0.85  % (16598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.85  % (16598)Termination reason: Unknown
% 1.04/0.85  % (16598)Termination phase: Saturation
% 1.04/0.85  
% 1.04/0.85  % (16598)Memory used [KB]: 2333
% 1.04/0.85  % (16598)Time elapsed: 0.078 s
% 1.04/0.85  % (16598)Instructions burned: 93 (million)
% 1.04/0.85  % (16598)------------------------------
% 1.04/0.85  % (16598)------------------------------
% 1.04/0.85  % (16596)Instruction limit reached!
% 1.04/0.85  % (16596)------------------------------
% 1.04/0.85  % (16596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.85  % (16596)Termination reason: Unknown
% 1.04/0.85  % (16596)Termination phase: Saturation
% 1.04/0.85  
% 1.04/0.85  % (16596)Memory used [KB]: 1869
% 1.04/0.85  % (16596)Time elapsed: 0.083 s
% 1.04/0.85  % (16596)Instructions burned: 118 (million)
% 1.04/0.85  % (16596)------------------------------
% 1.04/0.85  % (16596)------------------------------
% 1.04/0.85  % (16627)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 1.04/0.85  % (16622)First to succeed.
% 1.04/0.86  % (16629)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 1.04/0.86  % (16622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16385"
% 1.04/0.86  % (16622)Refutation found. Thanks to Tanya!
% 1.04/0.86  % SZS status Theorem for theBenchmark
% 1.04/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.86  % (16622)------------------------------
% 1.04/0.86  % (16622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.86  % (16622)Termination reason: Refutation
% 1.04/0.86  
% 1.04/0.86  % (16622)Memory used [KB]: 1489
% 1.04/0.86  % (16622)Time elapsed: 0.019 s
% 1.04/0.86  % (16622)Instructions burned: 54 (million)
% 1.04/0.86  % (16385)Success in time 0.499 s
% 1.04/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------